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Finding the Fourth Proportional to 7,039.60, 10,527.72 and 6,264.16

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Solution

The fourth proportional to 7,039.60, 10,527.72 and 6,264.16 is: 9,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.60 : 10,527.72 = 6,264.16 : x
  2. Step 2: Convert to fraction form
    7,039.60/10,527.72 = 6,264.16/x
  3. Step 3: Cross multiply
    7,039.60x = 10,527.72 × 6,264.16
  4. Step 4: Simplify right side
    7,039.60x = 65,947,322.52
  5. Step 5: Solve for x
    x = 65,947,322.52/7,039.60
  6. Step 6: Final answer
    x = 9,368.05

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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.