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Finding the Fourth Proportional to 7,655.85, 10,564.43 and 4,298.40

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Solution

The fourth proportional to 7,655.85, 10,564.43 and 4,298.40 is: 5,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.85 : 10,564.43 = 4,298.40 : x
  2. Step 2: Convert to fraction form
    7,655.85/10,564.43 = 4,298.40/x
  3. Step 3: Cross multiply
    7,655.85x = 10,564.43 × 4,298.40
  4. Step 4: Simplify right side
    7,655.85x = 45,410,124.42
  5. Step 5: Solve for x
    x = 45,410,124.42/7,655.85
  6. Step 6: Final answer
    x = 5,931.43

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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.