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Finding the Fourth Proportional to 11,498.52, 15,868.01 and 6,718.74

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Solution

The fourth proportional to 11,498.52, 15,868.01 and 6,718.74 is: 9,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.52 : 15,868.01 = 6,718.74 : x
  2. Step 2: Convert to fraction form
    11,498.52/15,868.01 = 6,718.74/x
  3. Step 3: Cross multiply
    11,498.52x = 15,868.01 × 6,718.74
  4. Step 4: Simplify right side
    11,498.52x = 106,613,033.51
  5. Step 5: Solve for x
    x = 106,613,033.51/11,498.52
  6. Step 6: Final answer
    x = 9,271.89

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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.