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Finding the Fourth Proportional to 7,709.30, 11,570.51 and 3,032.58

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Solution

The fourth proportional to 7,709.30, 11,570.51 and 3,032.58 is: 4,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.30 : 11,570.51 = 3,032.58 : x
  2. Step 2: Convert to fraction form
    7,709.30/11,570.51 = 3,032.58/x
  3. Step 3: Cross multiply
    7,709.30x = 11,570.51 × 3,032.58
  4. Step 4: Simplify right side
    7,709.30x = 35,088,482.05
  5. Step 5: Solve for x
    x = 35,088,482.05/7,709.30
  6. Step 6: Final answer
    x = 4,551.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.