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Finding the Fourth Proportional to 4,675.32, 7,013.05 and 1,165.32

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Solution

The fourth proportional to 4,675.32, 7,013.05 and 1,165.32 is: 1,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.32 : 7,013.05 = 1,165.32 : x
  2. Step 2: Convert to fraction form
    4,675.32/7,013.05 = 1,165.32/x
  3. Step 3: Cross multiply
    4,675.32x = 7,013.05 × 1,165.32
  4. Step 4: Simplify right side
    4,675.32x = 8,172,444.51
  5. Step 5: Solve for x
    x = 8,172,444.51/4,675.32
  6. Step 6: Final answer
    x = 1,748.00

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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.