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Finding the Fourth Proportional to 10,402.61, 15,599.16 and 3,005.30

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Solution

The fourth proportional to 10,402.61, 15,599.16 and 3,005.30 is: 4,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.61 : 15,599.16 = 3,005.30 : x
  2. Step 2: Convert to fraction form
    10,402.61/15,599.16 = 3,005.30/x
  3. Step 3: Cross multiply
    10,402.61x = 15,599.16 × 3,005.30
  4. Step 4: Simplify right side
    10,402.61x = 46,880,077.55
  5. Step 5: Solve for x
    x = 46,880,077.55/10,402.61
  6. Step 6: Final answer
    x = 4,506.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.