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Finding the Fourth Proportional to 10,510.51, 14,503.44 and 6,033.19

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Solution

The fourth proportional to 10,510.51, 14,503.44 and 6,033.19 is: 8,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.51 : 14,503.44 = 6,033.19 : x
  2. Step 2: Convert to fraction form
    10,510.51/14,503.44 = 6,033.19/x
  3. Step 3: Cross multiply
    10,510.51x = 14,503.44 × 6,033.19
  4. Step 4: Simplify right side
    10,510.51x = 87,502,009.17
  5. Step 5: Solve for x
    x = 87,502,009.17/10,510.51
  6. Step 6: Final answer
    x = 8,325.19

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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.