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Finding the Fourth Proportional to 7,564.18, 10,436.16 and 4,579.06

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Solution

The fourth proportional to 7,564.18, 10,436.16 and 4,579.06 is: 6,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.18 : 10,436.16 = 4,579.06 : x
  2. Step 2: Convert to fraction form
    7,564.18/10,436.16 = 4,579.06/x
  3. Step 3: Cross multiply
    7,564.18x = 10,436.16 × 4,579.06
  4. Step 4: Simplify right side
    7,564.18x = 47,787,802.81
  5. Step 5: Solve for x
    x = 47,787,802.81/7,564.18
  6. Step 6: Final answer
    x = 6,317.64

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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.