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Finding the Fourth Proportional to 7,732.02, 10,662.12 and 4,587.60

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Solution

The fourth proportional to 7,732.02, 10,662.12 and 4,587.60 is: 6,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.02 : 10,662.12 = 4,587.60 : x
  2. Step 2: Convert to fraction form
    7,732.02/10,662.12 = 4,587.60/x
  3. Step 3: Cross multiply
    7,732.02x = 10,662.12 × 4,587.60
  4. Step 4: Simplify right side
    7,732.02x = 48,913,541.71
  5. Step 5: Solve for x
    x = 48,913,541.71/7,732.02
  6. Step 6: Final answer
    x = 6,326.10

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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.