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Finding the Fourth Proportional to 7,678.28, 10,597.02 and 4,693.52

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Solution

The fourth proportional to 7,678.28, 10,597.02 and 4,693.52 is: 6,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.28 : 10,597.02 = 4,693.52 : x
  2. Step 2: Convert to fraction form
    7,678.28/10,597.02 = 4,693.52/x
  3. Step 3: Cross multiply
    7,678.28x = 10,597.02 × 4,693.52
  4. Step 4: Simplify right side
    7,678.28x = 49,737,325.31
  5. Step 5: Solve for x
    x = 49,737,325.31/7,678.28
  6. Step 6: Final answer
    x = 6,477.66

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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.