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Finding the Fourth Proportional to 10,442.40, 15,663.60 and 6,554.40

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Solution

The fourth proportional to 10,442.40, 15,663.60 and 6,554.40 is: 9,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.40 : 15,663.60 = 6,554.40 : x
  2. Step 2: Convert to fraction form
    10,442.40/15,663.60 = 6,554.40/x
  3. Step 3: Cross multiply
    10,442.40x = 15,663.60 × 6,554.40
  4. Step 4: Simplify right side
    10,442.40x = 102,665,499.84
  5. Step 5: Solve for x
    x = 102,665,499.84/10,442.40
  6. Step 6: Final answer
    x = 9,831.60

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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.