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Finding the Fourth Proportional to 7,985.72, 10,995 and 7,038.02

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Solution

The fourth proportional to 7,985.72, 10,995 and 7,038.02 is: 9,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.72 : 10,995 = 7,038.02 : x
  2. Step 2: Convert to fraction form
    7,985.72/10,995 = 7,038.02/x
  3. Step 3: Cross multiply
    7,985.72x = 10,995 × 7,038.02
  4. Step 4: Simplify right side
    7,985.72x = 77,383,029.90
  5. Step 5: Solve for x
    x = 77,383,029.90/7,985.72
  6. Step 6: Final answer
    x = 9,690.18

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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.