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Finding the Fourth Proportional to 7,715.59, 10,646.67 and 5,700.07

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Solution

The fourth proportional to 7,715.59, 10,646.67 and 5,700.07 is: 7,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.59 : 10,646.67 = 5,700.07 : x
  2. Step 2: Convert to fraction form
    7,715.59/10,646.67 = 5,700.07/x
  3. Step 3: Cross multiply
    7,715.59x = 10,646.67 × 5,700.07
  4. Step 4: Simplify right side
    7,715.59x = 60,686,798.95
  5. Step 5: Solve for x
    x = 60,686,798.95/7,715.59
  6. Step 6: Final answer
    x = 7,865.48

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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.