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Finding the Fourth Proportional to 10,470.66, 15,693.21 and 4,916.59

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Solution

The fourth proportional to 10,470.66, 15,693.21 and 4,916.59 is: 7,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.66 : 15,693.21 = 4,916.59 : x
  2. Step 2: Convert to fraction form
    10,470.66/15,693.21 = 4,916.59/x
  3. Step 3: Cross multiply
    10,470.66x = 15,693.21 × 4,916.59
  4. Step 4: Simplify right side
    10,470.66x = 77,157,079.35
  5. Step 5: Solve for x
    x = 77,157,079.35/10,470.66
  6. Step 6: Final answer
    x = 7,368.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.