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Finding the Fourth Proportional to 12,547.83, 17,316.57 and 7,511.10

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Solution

The fourth proportional to 12,547.83, 17,316.57 and 7,511.10 is: 10,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.83 : 17,316.57 = 7,511.10 : x
  2. Step 2: Convert to fraction form
    12,547.83/17,316.57 = 7,511.10/x
  3. Step 3: Cross multiply
    12,547.83x = 17,316.57 × 7,511.10
  4. Step 4: Simplify right side
    12,547.83x = 130,066,488.93
  5. Step 5: Solve for x
    x = 130,066,488.93/12,547.83
  6. Step 6: Final answer
    x = 10,365.66

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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.