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Finding the Fourth Proportional to 11,547.90, 15,930.43 and 7,296.91

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Solution

The fourth proportional to 11,547.90, 15,930.43 and 7,296.91 is: 10,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.90 : 15,930.43 = 7,296.91 : x
  2. Step 2: Convert to fraction form
    11,547.90/15,930.43 = 7,296.91/x
  3. Step 3: Cross multiply
    11,547.90x = 15,930.43 × 7,296.91
  4. Step 4: Simplify right side
    11,547.90x = 116,242,855.90
  5. Step 5: Solve for x
    x = 116,242,855.90/11,547.90
  6. Step 6: Final answer
    x = 10,066.15

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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.