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Finding the Fourth Proportional to 10,875.20, 16,332.60 and 6,501.20

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Solution

The fourth proportional to 10,875.20, 16,332.60 and 6,501.20 is: 9,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.20 : 16,332.60 = 6,501.20 : x
  2. Step 2: Convert to fraction form
    10,875.20/16,332.60 = 6,501.20/x
  3. Step 3: Cross multiply
    10,875.20x = 16,332.60 × 6,501.20
  4. Step 4: Simplify right side
    10,875.20x = 106,181,499.12
  5. Step 5: Solve for x
    x = 106,181,499.12/10,875.20
  6. Step 6: Final answer
    x = 9,763.64

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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.