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Finding the Fourth Proportional to 7,709.40, 10,632.78 and 5,585.22

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Solution

The fourth proportional to 7,709.40, 10,632.78 and 5,585.22 is: 7,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.40 : 10,632.78 = 5,585.22 : x
  2. Step 2: Convert to fraction form
    7,709.40/10,632.78 = 5,585.22/x
  3. Step 3: Cross multiply
    7,709.40x = 10,632.78 × 5,585.22
  4. Step 4: Simplify right side
    7,709.40x = 59,386,415.51
  5. Step 5: Solve for x
    x = 59,386,415.51/7,709.40
  6. Step 6: Final answer
    x = 7,703.12

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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.