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Finding the Fourth Proportional to 10,509.51, 14,502.55 and 6,033.14

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Solution

The fourth proportional to 10,509.51, 14,502.55 and 6,033.14 is: 8,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.51 : 14,502.55 = 6,033.14 : x
  2. Step 2: Convert to fraction form
    10,509.51/14,502.55 = 6,033.14/x
  3. Step 3: Cross multiply
    10,509.51x = 14,502.55 × 6,033.14
  4. Step 4: Simplify right side
    10,509.51x = 87,495,950.76
  5. Step 5: Solve for x
    x = 87,495,950.76/10,509.51
  6. Step 6: Final answer
    x = 8,325.41

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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.