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Finding the Fourth Proportional to 7,062.16, 10,585.68 and 4,465.84

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Solution

The fourth proportional to 7,062.16, 10,585.68 and 4,465.84 is: 6,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.16 : 10,585.68 = 4,465.84 : x
  2. Step 2: Convert to fraction form
    7,062.16/10,585.68 = 4,465.84/x
  3. Step 3: Cross multiply
    7,062.16x = 10,585.68 × 4,465.84
  4. Step 4: Simplify right side
    7,062.16x = 47,273,953.17
  5. Step 5: Solve for x
    x = 47,273,953.17/7,062.16
  6. Step 6: Final answer
    x = 6,693.98

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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.