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Finding the Fourth Proportional to 10,693.40, 14,756.29 and 5,913.07

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Solution

The fourth proportional to 10,693.40, 14,756.29 and 5,913.07 is: 8,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.40 : 14,756.29 = 5,913.07 : x
  2. Step 2: Convert to fraction form
    10,693.40/14,756.29 = 5,913.07/x
  3. Step 3: Cross multiply
    10,693.40x = 14,756.29 × 5,913.07
  4. Step 4: Simplify right side
    10,693.40x = 87,254,924.04
  5. Step 5: Solve for x
    x = 87,254,924.04/10,693.40
  6. Step 6: Final answer
    x = 8,159.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.