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Finding the Fourth Proportional to 7,897.56, 10,899.40 and 5,904.65

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Solution

The fourth proportional to 7,897.56, 10,899.40 and 5,904.65 is: 8,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.56 : 10,899.40 = 5,904.65 : x
  2. Step 2: Convert to fraction form
    7,897.56/10,899.40 = 5,904.65/x
  3. Step 3: Cross multiply
    7,897.56x = 10,899.40 × 5,904.65
  4. Step 4: Simplify right side
    7,897.56x = 64,357,142.21
  5. Step 5: Solve for x
    x = 64,357,142.21/7,897.56
  6. Step 6: Final answer
    x = 8,148.99

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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.