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Finding the Fourth Proportional to 10,580.64, 14,493.60 and 10,464

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Solution

The fourth proportional to 10,580.64, 14,493.60 and 10,464 is: 14,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.64 : 14,493.60 = 10,464 : x
  2. Step 2: Convert to fraction form
    10,580.64/14,493.60 = 10,464/x
  3. Step 3: Cross multiply
    10,580.64x = 14,493.60 × 10,464
  4. Step 4: Simplify right side
    10,580.64x = 151,661,030.40
  5. Step 5: Solve for x
    x = 151,661,030.40/10,580.64
  6. Step 6: Final answer
    x = 14,333.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.