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Finding the Fourth Proportional to 7,569.30, 10,444 and 4,585.26

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Solution

The fourth proportional to 7,569.30, 10,444 and 4,585.26 is: 6,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.30 : 10,444 = 4,585.26 : x
  2. Step 2: Convert to fraction form
    7,569.30/10,444 = 4,585.26/x
  3. Step 3: Cross multiply
    7,569.30x = 10,444 × 4,585.26
  4. Step 4: Simplify right side
    7,569.30x = 47,888,455.44
  5. Step 5: Solve for x
    x = 47,888,455.44/7,569.30
  6. Step 6: Final answer
    x = 6,326.67

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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.