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Finding the Fourth Proportional to 7,730.24, 10,653 and 7,588.06

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Solution

The fourth proportional to 7,730.24, 10,653 and 7,588.06 is: 10,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.24 : 10,653 = 7,588.06 : x
  2. Step 2: Convert to fraction form
    7,730.24/10,653 = 7,588.06/x
  3. Step 3: Cross multiply
    7,730.24x = 10,653 × 7,588.06
  4. Step 4: Simplify right side
    7,730.24x = 80,835,603.18
  5. Step 5: Solve for x
    x = 80,835,603.18/7,730.24
  6. Step 6: Final answer
    x = 10,457.06

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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.