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Finding the Fourth Proportional to 7,523.51, 10,386.06 and 5,009.81

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Solution

The fourth proportional to 7,523.51, 10,386.06 and 5,009.81 is: 6,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.51 : 10,386.06 = 5,009.81 : x
  2. Step 2: Convert to fraction form
    7,523.51/10,386.06 = 5,009.81/x
  3. Step 3: Cross multiply
    7,523.51x = 10,386.06 × 5,009.81
  4. Step 4: Simplify right side
    7,523.51x = 52,032,187.25
  5. Step 5: Solve for x
    x = 52,032,187.25/7,523.51
  6. Step 6: Final answer
    x = 6,915.95

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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.