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Finding the Fourth Proportional to 7,595.16, 10,470.90 and 5,077.68

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Solution

The fourth proportional to 7,595.16, 10,470.90 and 5,077.68 is: 7,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.16 : 10,470.90 = 5,077.68 : x
  2. Step 2: Convert to fraction form
    7,595.16/10,470.90 = 5,077.68/x
  3. Step 3: Cross multiply
    7,595.16x = 10,470.90 × 5,077.68
  4. Step 4: Simplify right side
    7,595.16x = 53,167,879.51
  5. Step 5: Solve for x
    x = 53,167,879.51/7,595.16
  6. Step 6: Final answer
    x = 7,000.23

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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.