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Finding the Fourth Proportional to 7,068.63, 9,754.32 and 4,085.40

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Solution

The fourth proportional to 7,068.63, 9,754.32 and 4,085.40 is: 5,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.63 : 9,754.32 = 4,085.40 : x
  2. Step 2: Convert to fraction form
    7,068.63/9,754.32 = 4,085.40/x
  3. Step 3: Cross multiply
    7,068.63x = 9,754.32 × 4,085.40
  4. Step 4: Simplify right side
    7,068.63x = 39,850,298.93
  5. Step 5: Solve for x
    x = 39,850,298.93/7,068.63
  6. Step 6: Final answer
    x = 5,637.63

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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.