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Finding the Fourth Proportional to 10,475.40, 15,699.74 and 4,916.48

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Solution

The fourth proportional to 10,475.40, 15,699.74 and 4,916.48 is: 7,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.40 : 15,699.74 = 4,916.48 : x
  2. Step 2: Convert to fraction form
    10,475.40/15,699.74 = 4,916.48/x
  3. Step 3: Cross multiply
    10,475.40x = 15,699.74 × 4,916.48
  4. Step 4: Simplify right side
    10,475.40x = 77,187,354.63
  5. Step 5: Solve for x
    x = 77,187,354.63/10,475.40
  6. Step 6: Final answer
    x = 7,368.44

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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.