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Finding the Fourth Proportional to 11,470.55, 15,830.17 and 6,435.25

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Solution

The fourth proportional to 11,470.55, 15,830.17 and 6,435.25 is: 8,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.55 : 15,830.17 = 6,435.25 : x
  2. Step 2: Convert to fraction form
    11,470.55/15,830.17 = 6,435.25/x
  3. Step 3: Cross multiply
    11,470.55x = 15,830.17 × 6,435.25
  4. Step 4: Simplify right side
    11,470.55x = 101,871,045.83
  5. Step 5: Solve for x
    x = 101,871,045.83/11,470.55
  6. Step 6: Final answer
    x = 8,881.10

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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.