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Finding the Fourth Proportional to 10,403.95, 14,356.92 and 5,688.22

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Solution

The fourth proportional to 10,403.95, 14,356.92 and 5,688.22 is: 7,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.95 : 14,356.92 = 5,688.22 : x
  2. Step 2: Convert to fraction form
    10,403.95/14,356.92 = 5,688.22/x
  3. Step 3: Cross multiply
    10,403.95x = 14,356.92 × 5,688.22
  4. Step 4: Simplify right side
    10,403.95x = 81,665,319.48
  5. Step 5: Solve for x
    x = 81,665,319.48/10,403.95
  6. Step 6: Final answer
    x = 7,849.45

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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.