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Finding the Fourth Proportional to 10,595.64, 14,622.48 and 5,880

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Solution

The fourth proportional to 10,595.64, 14,622.48 and 5,880 is: 8,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.64 : 14,622.48 = 5,880 : x
  2. Step 2: Convert to fraction form
    10,595.64/14,622.48 = 5,880/x
  3. Step 3: Cross multiply
    10,595.64x = 14,622.48 × 5,880
  4. Step 4: Simplify right side
    10,595.64x = 85,980,182.40
  5. Step 5: Solve for x
    x = 85,980,182.40/10,595.64
  6. Step 6: Final answer
    x = 8,114.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.