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Finding the Fourth Proportional to 10,492.34, 15,739.52 and 4,645.76

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Solution

The fourth proportional to 10,492.34, 15,739.52 and 4,645.76 is: 6,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.34 : 15,739.52 = 4,645.76 : x
  2. Step 2: Convert to fraction form
    10,492.34/15,739.52 = 4,645.76/x
  3. Step 3: Cross multiply
    10,492.34x = 15,739.52 × 4,645.76
  4. Step 4: Simplify right side
    10,492.34x = 73,121,930.51
  5. Step 5: Solve for x
    x = 73,121,930.51/10,492.34
  6. Step 6: Final answer
    x = 6,969.08

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