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Finding the Fourth Proportional to 7,509.70, 10,364.42 and 4,322.93

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Solution

The fourth proportional to 7,509.70, 10,364.42 and 4,322.93 is: 5,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.70 : 10,364.42 = 4,322.93 : x
  2. Step 2: Convert to fraction form
    7,509.70/10,364.42 = 4,322.93/x
  3. Step 3: Cross multiply
    7,509.70x = 10,364.42 × 4,322.93
  4. Step 4: Simplify right side
    7,509.70x = 44,804,662.15
  5. Step 5: Solve for x
    x = 44,804,662.15/7,509.70
  6. Step 6: Final answer
    x = 5,966.24

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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.