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Finding the Fourth Proportional to 10,430.95, 14,395.05 and 5,715.53

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Solution

The fourth proportional to 10,430.95, 14,395.05 and 5,715.53 is: 7,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.95 : 14,395.05 = 5,715.53 : x
  2. Step 2: Convert to fraction form
    10,430.95/14,395.05 = 5,715.53/x
  3. Step 3: Cross multiply
    10,430.95x = 14,395.05 × 5,715.53
  4. Step 4: Simplify right side
    10,430.95x = 82,275,340.13
  5. Step 5: Solve for x
    x = 82,275,340.13/10,430.95
  6. Step 6: Final answer
    x = 7,887.62

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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.