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Finding the Fourth Proportional to 7,870.16, 10,860.42 and 4,332.69

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Solution

The fourth proportional to 7,870.16, 10,860.42 and 4,332.69 is: 5,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.16 : 10,860.42 = 4,332.69 : x
  2. Step 2: Convert to fraction form
    7,870.16/10,860.42 = 4,332.69/x
  3. Step 3: Cross multiply
    7,870.16x = 10,860.42 × 4,332.69
  4. Step 4: Simplify right side
    7,870.16x = 47,054,833.13
  5. Step 5: Solve for x
    x = 47,054,833.13/7,870.16
  6. Step 6: Final answer
    x = 5,978.89

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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.