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Finding the Fourth Proportional to 11,526.24, 15,898.80 and 6,810.24

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Solution

The fourth proportional to 11,526.24, 15,898.80 and 6,810.24 is: 9,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.24 : 15,898.80 = 6,810.24 : x
  2. Step 2: Convert to fraction form
    11,526.24/15,898.80 = 6,810.24/x
  3. Step 3: Cross multiply
    11,526.24x = 15,898.80 × 6,810.24
  4. Step 4: Simplify right side
    11,526.24x = 108,274,643.71
  5. Step 5: Solve for x
    x = 108,274,643.71/11,526.24
  6. Step 6: Final answer
    x = 9,393.75

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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.