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Finding the Fourth Proportional to 10,035.68, 15,068.13 and 7,411.28

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Solution

The fourth proportional to 10,035.68, 15,068.13 and 7,411.28 is: 11,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.68 : 15,068.13 = 7,411.28 : x
  2. Step 2: Convert to fraction form
    10,035.68/15,068.13 = 7,411.28/x
  3. Step 3: Cross multiply
    10,035.68x = 15,068.13 × 7,411.28
  4. Step 4: Simplify right side
    10,035.68x = 111,674,130.51
  5. Step 5: Solve for x
    x = 111,674,130.51/10,035.68
  6. Step 6: Final answer
    x = 11,127.71

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