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Finding the Fourth Proportional to 12,547.80, 17,312.94 and 7,511.22

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Solution

The fourth proportional to 12,547.80, 17,312.94 and 7,511.22 is: 10,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.80 : 17,312.94 = 7,511.22 : x
  2. Step 2: Convert to fraction form
    12,547.80/17,312.94 = 7,511.22/x
  3. Step 3: Cross multiply
    12,547.80x = 17,312.94 × 7,511.22
  4. Step 4: Simplify right side
    12,547.80x = 130,041,301.19
  5. Step 5: Solve for x
    x = 130,041,301.19/12,547.80
  6. Step 6: Final answer
    x = 10,363.67

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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.