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Finding the Fourth Proportional to 8,140.60, 11,232.64 and 4,603.72

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Solution

The fourth proportional to 8,140.60, 11,232.64 and 4,603.72 is: 6,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.60 : 11,232.64 = 4,603.72 : x
  2. Step 2: Convert to fraction form
    8,140.60/11,232.64 = 4,603.72/x
  3. Step 3: Cross multiply
    8,140.60x = 11,232.64 × 4,603.72
  4. Step 4: Simplify right side
    8,140.60x = 51,711,929.42
  5. Step 5: Solve for x
    x = 51,711,929.42/8,140.60
  6. Step 6: Final answer
    x = 6,352.35

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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.