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Finding the Fourth Proportional to 10,521.60, 15,782.40 and 6,374.40

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Solution

The fourth proportional to 10,521.60, 15,782.40 and 6,374.40 is: 9,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.60 : 15,782.40 = 6,374.40 : x
  2. Step 2: Convert to fraction form
    10,521.60/15,782.40 = 6,374.40/x
  3. Step 3: Cross multiply
    10,521.60x = 15,782.40 × 6,374.40
  4. Step 4: Simplify right side
    10,521.60x = 100,603,330.56
  5. Step 5: Solve for x
    x = 100,603,330.56/10,521.60
  6. Step 6: Final answer
    x = 9,561.60

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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.