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Finding the Fourth Proportional to 10,501.64, 14,492.26 and 5,785.88

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Solution

The fourth proportional to 10,501.64, 14,492.26 and 5,785.88 is: 7,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.64 : 14,492.26 = 5,785.88 : x
  2. Step 2: Convert to fraction form
    10,501.64/14,492.26 = 5,785.88/x
  3. Step 3: Cross multiply
    10,501.64x = 14,492.26 × 5,785.88
  4. Step 4: Simplify right side
    10,501.64x = 83,850,390.36
  5. Step 5: Solve for x
    x = 83,850,390.36/10,501.64
  6. Step 6: Final answer
    x = 7,984.51

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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.