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Finding the Fourth Proportional to 7,656.10, 10,564.77 and 4,298.65

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Solution

The fourth proportional to 7,656.10, 10,564.77 and 4,298.65 is: 5,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.10 : 10,564.77 = 4,298.65 : x
  2. Step 2: Convert to fraction form
    7,656.10/10,564.77 = 4,298.65/x
  3. Step 3: Cross multiply
    7,656.10x = 10,564.77 × 4,298.65
  4. Step 4: Simplify right side
    7,656.10x = 45,414,248.56
  5. Step 5: Solve for x
    x = 45,414,248.56/7,656.10
  6. Step 6: Final answer
    x = 5,931.77

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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.