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Finding the Fourth Proportional to 10,547.34, 14,553.90 and 8,960.40

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Solution

The fourth proportional to 10,547.34, 14,553.90 and 8,960.40 is: 12,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.34 : 14,553.90 = 8,960.40 : x
  2. Step 2: Convert to fraction form
    10,547.34/14,553.90 = 8,960.40/x
  3. Step 3: Cross multiply
    10,547.34x = 14,553.90 × 8,960.40
  4. Step 4: Simplify right side
    10,547.34x = 130,408,765.56
  5. Step 5: Solve for x
    x = 130,408,765.56/10,547.34
  6. Step 6: Final answer
    x = 12,364.14

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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.